Pertanyaan

Hitunglah limit fungsi berikut. lim x → ∞ 2 x + 3 x 3 − 2

Hitunglah limit fungsi berikut.

$lim_{x \to \infty} \frac{x ^{3} - 2}{2 x + 3}$

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

nilai limit di atas adalah

Pembahasan

Jadi, nilai limit di atas adalah

$table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow infinity of fraction numerator square root of x cubed minus 2 end root over denominator 2 x plus 3 end fraction end cell equals cell limit as x rightwards arrow infinity of fraction numerator square root of x squared open parentheses x minus 2 over x squared close parentheses end root over denominator 2 x plus 3 end fraction end cell row blank equals cell limit as x rightwards arrow infinity of fraction numerator x square root of x minus begin display style 2 over x squared end style end root over denominator x open parentheses 2 plus 3 over x close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow infinity of fraction numerator square root of x minus begin display style 2 over x squared end style end root over denominator 2 plus begin display style 3 over x end style end fraction end cell row blank equals cell limit as x rightwards arrow infinity of fraction numerator square root of x minus 0 end root over denominator 2 plus begin display style 0 end style end fraction end cell row blank equals cell limit as x rightwards arrow infinity of fraction numerator square root of x over denominator 2 end fraction end cell row blank equals infinity end table$

Jadi, nilai limit di atas adalah